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int(dx)/(x[(logx)^(2)+4logx-1])=...

`int(dx)/(x[(logx)^(2)+4logx-1])=`

A

`1/2sqrt(5)logabs((logx+2-sqrt(5))/(logx+2+sqrt(5)))+c`

B

`1/sqrt(5)logabs((logx+2-sqrt(5))/(logx+2+sqrt(5)))+c`

C

`1/2sqrt(5)logabs((logx+2+sqrt(5))/(logx+2-sqrt(5)))+c`

D

`1/sqrt(5)logabs((logx+2+sqrt(5))/(logx+2-sqrt(5)))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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